Question

Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. In your final answer, include the table of function values. f(x) = 2x h(x) = x3 + x + 8

Answer 1

f(x) = 2^x; h(x) = x^3 + x + 8

Table


x f(x) = 2^x h(x) = x^3 + x + 8

0 2^0 = 1 0 + 0 + 8 = 8

1 2^1 = 2 1^3 + 1 + 8 = 10

2 2^2 = 4 2^3 + 2 + 8 = 8 + 2 + 8 = 18

3 2^3 = 8 3^3 + 3 + 8 = 27 + 3 + 8 = 38

4 2^2 = 16 4^3 + 4 + 8 = 76

10 2^10 = 1024 10^3 +10 + 8 = 1018

9 2^9 = 512 9^3 + 9 + 8 = 729 + 9 + 8 = 746

Answer: an approximate value of 10